• Journal of the Korean Mathematical Society
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• v.36 no.4
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• pp.707-723
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• 1999

Since the modular curve $X(4)=\Gamma(4)/{\mathfrak{}}^*$ has genus 0, we have a field isomorphism K(X(4)){\approx}\mathcal{C}(j_{4})$ where $j_{4}(z)={\theta}_{3}(\frac{z}{2})/{\theta}_{4}(\frac{z}{2})$ is a quotient of Jacobi theta series ([9]). We derive recursion formulas for the Fourier coefficients of $j_4$ and $N(j_{4})$ (=the normalized generator), respectively. And we apply these modular functions to Thompson series and the construction of class fields.

• Bulletin of the Korean Mathematical Society
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• v.53 no.5
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• pp.1353-1362
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• 2016

Using the notion of complete nonabelian exterior square $G\hat{\wedge}G$ of a pro-p-group G (p prime), we develop the theory of the exterior degree $\hat{d}(G)$ in the infinite case, focusing on its relations with the probability of commuting pairs d(G). Among the main results of this paper, we describe upper and lower bounds for $\hat{d}(G)$ with respect to d(G). Here the size of the second homology group $H_2(G,\mathbb{Z}_p)$ (over the p-adic integers $\mathbb{Z}_p$) plays a fundamental role. A further result of homological nature is placed at the end, in order to emphasize the influence of $H_2(G,\mathbb{Z}_p)$ both on G and $\hat{d}(G)$.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.3 no.2
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• pp.161-165
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• 2003

In this paper, we investigate the issues on the design and implementation of tele-operation system based on the haptic interface. Here, the 3-DOF haptic device and the X-Y-Z stage are employed as master controller and slave system respectively. For this master-slave system, the force feedback algorithm, the modeling of virtual environments and the control method of X-Y-Z stage are presented. In this paper, internet network is used for data communication between master and slave. We construct virtual environment of the real convex surface from the force-feedback in controlling the X-Y-Z stage and measuring the force applied by the 3-DOF haptic device.

• 한국초전도학회:학술대회논문집
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• 2008.08a
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• pp.2-2
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• 2008

• Proceedings of the Korean Society for Technology of Plasticity Conference
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• 1996.10a
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• pp.139-146
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• 1996

The torsion tests in the range of 900~1100$^{\circ}C$ and 5.0X10-2~5.0X100/sec were performed to study the high temperasture deformation behavior kinetics of 304 stainless steels. The flow curves and microstructures exhibited the characteristic of dynamic recrystallization(DRX). The relationship between the critical strain($\varepsilon$c) for the initiation of dynamic recrystallization and the peak strain($\varepsilon$p) could be expressed as $\varepsilon$c=0.73$\varepsilon$p. The dependence of the flow stress on temperature(T) and stain rate($\varepsilon$) was expressed by hyperbolic sine law, $\varepsilon$=2.75X1014 (sinh 0.076$\sigma$)5.26 exp(-379.55kJ/mol). Under the Zener-Hollomon parameter, Z value of 1013 order, it was found that the grain size was 20${\mu}$m. The relationship between the grain size, dDRX and Z parameter was expressed as dDRX =139.48-7.33 log Z.

• The Pure and Applied Mathematics
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• v.21 no.2
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• pp.113-120
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• 2014

In this paper, we first show that for any space X, there is a ${\sigma}$-complete Boolean subalgebra of $\mathcal{R}$(X) and that the subspace {${\alpha}{\mid}{\alpha}$ is a fixed ${\sigma}Z(X)^{\sharp}$-ultrafilter} of the Stone-space $S(Z({\Lambda}_X)^{\sharp})$ is the minimal basically disconnected cover of X. Using this, we will show that for any countably locally weakly Lindel$\ddot{o}$f space X, the set {$M{\mid}M$ is a ${\sigma}$-complete Boolean subalgebra of $\mathcal{R}$(X) containing $Z(X)^{\sharp}$ and $s_M^{-1}(X)$ is basically disconnected}, when partially ordered by inclusion, becomes a complete lattice.

• Journal of the Korea Furniture Society
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• v.26 no.2
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• pp.163-170
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• 2015

This study was conducted to identify wood species for 51 excavated wooden shoes in the 12~16 Chungjin district of Jongno. Wood species of 31 Pinus sp., 12 Torreya nucifera S. et Z., 4 Ginkgo biloba L., 2 Salix sp., 1 Kalopanax pictus (Thunb.) Nakai. and 1 Morus sp. were identified. Wood used for wooden shoes was a species that can be mainly obtained easily around. Among them, Torreya nucifera S. et Z. grows in warm temperate zone of Korea, which shows that interregional cooperation has occurred.

• Restorative Dentistry and Endodontics
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• v.8 no.1
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• pp.155-159
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• 1982

The author has studied comparatively the sealing quality of conventional Z.O.E. cement, chloropercha and FR cement by means of penetration of 2% methylene blue solution through the apex of human teeth in 112 cases as the time elapsed. The results were as follows; 1. All the specimen, of which dye immersion time is three days, showed dye penetration of low degree unrelated to the kinds of root canal cement and the degree of dye penetration was increased as the time elapsed. 2. Of all the experimental group, the Z.O.E. cement group showed the lowest degree of dye penetration and the FR filling group showed the highest degree of dye penetration. 3. The degree of dye penetration of FR cement group was higher than that of the Z.O.E. cement group but lower than that of the chloropercha group.

• The Korean Journal of Zoology
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• v.32 no.4
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• pp.358-364
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• 1989

한국산 박새속 조류 Porus major(박새), Porus atter(진박새), Porus poiustris(쇠박새), Parus varius(곤줄박이)의 핵형을 일반염색 방법으로 분석한 결과 4종의 염색체 수는 모두 2n=78∼80으로 나타났고, 성 염색체를 포함한 7쌍이 macrochromosome, 그 외 32∼33쌍이 microchromosome이었다. 종간 차이를 나타내는 염색체는 5번째 염색체와성염색체인 Z·W-염색체였다. 이러한 핵형의 차이는 5번째 염색체에서는 pericentric inversion, 성 염색체에서는 전좌에 의한 것으로 생각된다. The chromosomal analysis of Pows major, Paws after, Paws palustris and Paws vorius of the genus Paws in Korea were performed by conventional Giemsa staining method. The diploid number of four species were 2n=78-80, and there were 7 pairs of macrochromosomes and 32 or 33 pairs of microchromosomes. The 5th and Z·W-chromosomeswere distinctly different between interspecies. Probably these karyological differences were speculated by pericentric inversion in 5th chromosome and translocation in Z·W-chromosomes.

• The Bulletin of The Korean Astronomical Society
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• v.41 no.1
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• pp.67.2-67.2
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• 2016

SPT-CL J2106-5844 is known to be one of the most massive galaxy clusters ($M_{200}{\sim}1.27{\times}10^{15}M_{sun}$) ever found at z > 1. Given its redshift (z ~ 1.132), the mass of this cluster estimated by Sunyaev-Zel'dovich effect and X-ray observation is too large compared with the current ${\Lambda}CDM$ cosmology prediction. Mass estimation from these methods can be biased because they require assumptions on hydrostatic equilibrium, which are not guaranteed to hold at such high redshift (about 40% of the current age of the Universe). Thus, we need to verify the mass of this interesting cluster using gravitational lensing, which does not require such assumptions. In this work, we present our preliminary result of dark matter mass and its spatial mass distribution of SPT-CL J2106-5844 using weak-lensing analysis based on HST optical/NIR deep imaging data. We compare mass estimates from different sources and discuss cosmological implications.